Siemka, możecie mi znaleźć wspólny mianownik liczb 2,6,12,20,30,42,56,72,90,110,132,156,182,210,240,272,306 Mam zadanie takie żeby ułamki policzyć ( dodać ) a nad tymi wszystkimi liczbami jest 1 czyli np. 1/2 ( jedna druga ), 1/6 ( jedna szósta )

Ja bym to zrobiła w ten sposób, od razu rozpisałam ci na etapy, poskracałam [te dzielenia ułamków przez liczbę 1 wyrażoną w ułamku np 1 =  2/2 =20/20 itp ]    [latex]frac{1*3}{2*3}+frac{1}{6}+frac{1}{12}+frac{1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{3+1}{6}+frac{1}{12}+frac{1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ [/latex]   [latex]=frac{4*2}{6*2}+frac{1}{12}+frac{1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{8+1}{12}+frac{1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ [/latex]     [latex]=frac{9:3}{12:3}+frac{1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{3*5}{4*5}+frac{1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\[/latex]   [latex]=frac{15+1}{20}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{16:4}{20:4}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\[/latex]    [latex]=frac{4*6}{5*6}+frac{1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{24+1}{30}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\[/latex]   [latex]=frac{25:5}{30:5}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{5*7}{6*7}+frac{1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\[/latex]    [latex]=frac{35+1}{42}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+\+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{36:6}{42:6}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+\+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ [/latex]    [latex]=frac{6*8}{7*8}+frac{1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+\+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{48+1}{56}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+\+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ [/latex]    [latex]=frac{49:7}{56:7}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+\+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{7*9}{8*9}+frac{1}{72}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+\+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ [/latex]    [latex]=frac{8}{9}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{8*10}{9*10}+frac{1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{80+1}{90}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\[/latex]    [latex]=frac{9*11}{10*11}+frac{1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{99+1}{110}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{100:10}{110:10}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\[/latex]    [latex]=frac{10*12}{11*12}+frac{1}{132}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{121:11}{132:11}+frac{1}{156}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{11*13+1}{12*13}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{144:12}{156:12}+frac{1}{182}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ [/latex]    [latex]=frac{12*14+1}{13*14}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{169:13}{182:13}+frac{1}{210}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{13*15+1}{14*15}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{196:14}{210:14}+frac{1}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{14*16+1}{15*16}+frac{1}{272}+frac{1}{306}=\\ =frac{225}{240}+frac{1}{272}+frac{1}{306}=\\ =frac{225:15}{240:15}+frac{1}{272}+frac{1}{306}=\\[/latex]    [latex]=frac{15*17+1}{16*17}+frac{1}{306}=\\ =frac{256:16}{272:16}+frac{1}{306}=\\ =frac{16*18}{17*18}+frac{1}{306}=\\ =frac{288}{306}+frac{1}{306}=\\ =frac{288+1}{306}=frac{289:17}{306:17}=frac{17}{18} [/latex]